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Finding the Fourth Proportional to 150,541.50, 225,827.37 and 39,733.50

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Solution

The fourth proportional to 150,541.50, 225,827.37 and 39,733.50 is: 59,604.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,541.50 : 225,827.37 = 39,733.50 : x
  2. Step 2: Convert to fraction form
    150,541.50/225,827.37 = 39,733.50/x
  3. Step 3: Cross multiply
    150,541.50x = 225,827.37 × 39,733.50
  4. Step 4: Simplify right side
    150,541.50x = 8,972,911,805.90
  5. Step 5: Solve for x
    x = 8,972,911,805.90/150,541.50
  6. Step 6: Final answer
    x = 59,604.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.